Which of the following expressions are equivalent to 6-3?
The correct answer and explanation is:
Correct Answer:
The expression 6 – 3 is equivalent to:
- 3
Here are some expressions that are also equivalent to 6 – 3:
- 3 + 0
- 1 + 2
- 9 – 6
- 12 ÷ 4
- 2 × 1.5
Each of these evaluates to 3, just like 6 – 3.
300-Word Explanation:
To determine which expressions are equivalent to 6 – 3, we first need to understand what the expression itself means. In this case, 6 – 3 is a basic arithmetic operation: subtraction. It tells us to subtract 3 from 6. 6−3=36 – 3 = 3
So we are looking for other expressions that also equal 3.
Addition Equivalents:
If we reverse subtraction, we can find equivalent addition statements. For example:
- 3 + 0 = 3
- 1 + 2 = 3
- 2 + 1 = 3
These expressions are equivalent because they all sum to the same result, 3.
Subtraction Equivalents:
Other subtraction expressions that result in 3 include:
- 9 – 6 = 3
- 5 – 2 = 3
These show that different numbers can be used in subtraction as long as the result is still 3.
Multiplication and Division Equivalents:
You can also find equivalent expressions using multiplication or division:
- 1.5 × 2 = 3
- 3 × 1 = 3
- 12 ÷ 4 = 3
- 6 ÷ 2 = 3
Each of these equals 3, so they are mathematically equivalent to 6 – 3 in terms of final value.
However, being equivalent in value does not mean the expressions have the same form or operation. They just give the same answer.
Conclusion:
Any expression that results in the number 3 is considered equivalent in value to 6 – 3. Recognizing equivalent expressions helps strengthen your number sense and flexibility in solving math problems.